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marin [14]
3 years ago
9

What is the sum of the interior angles of a polygon that has 9 sides?

Mathematics
1 answer:
Alecsey [184]3 years ago
4 0

Answer:

1260 degrees

Step-by-step explanation:

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Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.
Ahat [919]

Answer:

f(x) = 1.5x - 0.5x

Step-by-step explanation:

The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.

The triangular number general formula

                      x (x + 1) / 2

For  example,

The sequence

1,     3,     6,      10

                                             *

                          *              *  *

         *           *   *          *   *  *

* ,    *  *,     *   *   *,     *   *   *  *

_____________________________

The pentagonal numbers

The sequence:

1, 5, 12, 22, 35

As shown in the picture can be divided into three triangles

Triangle 2

x (x + 1) / 2

Triangle 1 and 3  (they are triangles one unit smaller than 2)

n (n + 1) / 2

n= x-1

Replacing n

(x-1) ((x-1) + 1) / 2

(x-1) (x) / 2

(x-1) x / 2

______________

Function represents the pattern

Triangle 2  + (Triangle 1  +  Triangle 3)

Triangle 1  = Triangle 3

So then,

Triangle 2 + 2* Triangle 1

x (x +1) /2  + 2* (x -1) x/2

Rearranging

0.5 x (x +1) + x(x -1)

0.5x^2 + 0.5x + x^2 -x

(0.5 x^2 + x^2)  + (0.5x -x )

1.5 x^2 - 0.5 x  

______

3 0
3 years ago
Read 2 more answers
Graph the equation. y = 2 sqrt. x
777dan777 [17]

A graphing calculator or spreadsheet program can do this for you. Below is a plot from the Desmos on-line graphing calculator.

3 0
3 years ago
HELP NEEDED ASAP
nikdorinn [45]

surface area of cylinder = 2 π r h + 2π r²

plug in values of pi, radius and area

2,461.76 = 2× 3.14 × 14 × h + 2× 3.14 × 14 × 14

2,461.76 = 87.92 h + 1,230.88

2,461.76 – 1,230.88 = 87.92h

1,230.88 = 87.92h

1,230.88 ÷ 87.92 = h

h = 14 ft

6 0
3 years ago
Help plz 5 or 3 pts or 10 isk :)
notka56 [123]

The solution is X=10.

8 0
3 years ago
Please help ill give brainliest
Olenka [21]
1. y=7/8x +1
2. y=-10x
3. y=2.5x-7
4. y=1.2x
5. y=-5x-8
6 0
2 years ago
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